Heat Conduction

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Description: The proposed will be a revision of a classic text on heat conduction which is considered to have the most comprehensive coverage with emphasis on the mathematics and underlying physics. The current text has considerable depth and analytical rigorMore...

The proposed will be a revision of a classic text on heat conduction which is considered to have the most comprehensive coverage with emphasis on the mathematics and underlying physics. The current text has considerable depth and analytical rigor but after the initial introduction and set-up of the given solution scheme, the treatment is usually reduced to a "generic" solution approach. Comments about the physics of the solution (e.g. transient vs. steady-state components and conservation of energy) are not always given. The second half of the current edition is largely dedicated to approximate and numerical schemes. While these are important topics, rigorous coverage is simply not practical in a single conduction course. At the same time an increasingly important topic in thermal science is coverage of micro- and nano-scale heat transfer. The proposed new edition will then lower the emphasis on numerical methods while increasing coverage of key new topics of micro- and nano-scale heat transfer. New examples, problems, and cases will be added and a solutions manual will be available.

Preface

Preface to Second Edition

Heat Conduction Fundamentals

The Heat Flux

Thermal Conductivity

Differential Equation of Heat Conduction

Fourier's Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems

General Boundary Conditions and Initial Condition for the Heat Equation

Nondimensional Analysis of the Heat Conduction Equation

Heat Conduction Equation for Anisotropic Medium

Lumped and Partially Lumped Formulation

References

Problems

Orthogonal Functions, Boundary Value Problems, and the Fourier Series

Orthogonal Functions

Boundary Value, Problems

The Fourier Series

Computation of Eigenvalues

Fourier Integrals

References

Problems

Separation of Variables in the Rectangular Coordinate System

Basic Concepts in the Separation of Variables Method

Generalization to Multidimensional Problems

Solution of Multidimensional Homogenous Problems

Multidimensional Nonhomogeneous Problems: Method of Superposition

Product Solution

Capstone Problem

References

Problems

Separation of Variables in the Cylindrical Coordinate System

Separation of Heat Conduction Equation in the Cylindrical Coordinate System

Solution of Steady-State Problems

Solution of Transient Problems

Capstone Problem

References

Problems

Separation of Variables in the Spherical Coordinate System

Separation of Heat Conduction Equation in the Spherical Coordinate System

Solution of Steady-State Problems

Solution of Transient Problems

Capstone Problem

References

Problems

Notes

Solution of the Heat Equation for Semi-Infinite and Infinite Domains

One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System

Multidimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System

One-Dimensional Homogeneous Problems in an Infinite Medium for the Cartesian Coordinate System

One-Dimensional homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System

Two-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System

One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Spherical Coordinate System

References

Problems

Use of Duhamel's Theorem

Development of Duhamel's Theorem for Continuous Time-Dependent Boundary Conditions

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost®
and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but
is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes
Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace"
orders are not eligible for free or discounted shipping.